期刊
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
卷 90, 期 9, 页码 1073-1088出版社
WILEY
DOI: 10.1002/nme.3356
关键词
particle-in-cell; high-order accuracy; low dissipation; inviscid; incompressible; unstructured; PIC; FLIP; MPM; GIMP
资金
- Natural Sciences and Engineering Research Council of Canada
We propose the use of high-order weighted essentially non-oscillatory interpolation and moving-least-squares approximation schemes alongside high-order time integration to enable high-order accurate particle-in-cell methods. The key insight is to view the unstructured set of particles as the underlying representation of the continuous fields; the grid used to evaluate integrodifferential coupling terms is purely auxiliary. We also include a novel regularization term to avoid the accumulation of noise in the particle samples without harming the convergence rate. We include numerical examples for several model problems: advectiondiffusion, shallow water, and incompressible NavierStokes in vorticity formulation. The implementation demonstrates fourth-order convergence, shows very low numerical dissipation, and is competitive with high-order Eulerian schemes. Copyright (c) 2012 John Wiley & Sons, Ltd.
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